Wood in the forest

The amount of wood in the forest was estimated at 6000 m3. How much wood will be in forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m3 each year?

Result

a =  6243 m3

Solution:

q=1+2.5/100=4140=1.025 a0=6000 m3  a1=a0 q30=6000 1.02530=6120 m3 a2=a1 q30=6120 1.02530=6243 m3 a=a2=6243 m3q=1+2.5/100=\dfrac{ 41 }{ 40 }=1.025 \ \\ a_{0}=6000 \ \text{m}^3 \ \\ \ \\ a_{1}=a_{0} \cdot \ q - 30=6000 \cdot \ 1.025 - 30=6120 \ \text{m}^3 \ \\ a_{2}=a_{1} \cdot \ q - 30=6120 \cdot \ 1.025 - 30=6243 \ \text{m}^3 \ \\ a=a_{2}=6243 \ \text{m}^3



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You ask for 2nd year but the answer is for the 5th...

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Dr Math
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